Riddles in Math: Book of Paradoxes


Eugene Northrop, "Riddles in Math: Book of Paradoxes"
1975 | pages: 271 | ISBN: 0882752731 | PDF | 15,7 mb

The Contents list may be taken as a glimpse of its riches.
What is a Paradox?
Paradoxes for Everyone
... in Arithmetic
... in Geometry
Algebraical Fallacies
Geometrical Fallacies
Paradoxes of the Infinite
... in Probability
... in Logic

This may sound daunting. But Northrop has a deft turn of phrase, a gift for speaking clearly, and lots of diagrams. And he finds humour among the headaches.

His discursive discussion covers such anomalies as:
- proving that any triangle is isosceles;
- minus 1 is greater than plus 1;
- the traps of dividing by zero;
- Moebius strips that have ONE side, not two;
- the fact that there are as many even numbers as there are even-plus-odd numbers;
- Georg Cantor's astounding proofs of the countability of all the fractions, and the uncountability of all the (infinite) decimals;
... and so on.

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